Question

M is the midpoint of rs r has coordinates (-2,10) and m has coordinates (3,5) what are the coordinates of s

Answer 1

Since, the coordinates of the midpoint of line RS are M$(3, 5)$.

The coordinates of endpoint R are (-2,10)

We have to determine the coordinates of endpoint S.

The midpoint of the line segment joining the points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the formula $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$.

Here, The endpoint R is (-2,10) So, $x_1 = -2 , y_1=10$

Let the endpoint S be $(x_2,y_2)$

The midpoint coordinate M is $(3, 5)$.

So, $3 = \frac{-2+x_2}{2}$

${6} = {-2+x_2}$

${x_2}=8$

Now, $5 = \frac{10+y_2}{2}$

$10 = {10+y_2}$

$0= y_2$

So, the other endpoint S is (8,0).